Our LT will not have much of a problem with staying in the Army at this time. There was a surplus of officers that wanted to go home, either to be in a billet in the US or get completely out of the Army, having someone who wants to stay in Europe with his experience will help him in this case because they had brand new 2LT's that wanted to go home at this time. He also represents that component that was one of the things they were showing off post war. Look at how Capt. Spears from the Band of Brothers ended up a LT COL and was the US Governor of Spandau Prison in the late 58. Jaroschek would fit into this type of officer the US Army wanted to keep to help with the ones that did not "go to war" so to speak.
True, but the Army did experience drastic shrinkage post WW2. Even RA officers remaining in service were reduced to permanent grade from their wartime AUS grades. For example, William Yarborough was reduced from a wartime AUS grade of Colonel commanding an infantry regiment to his permanent grade of Captain as did many others including Creighton Abrams, and Russel Volckman. Some high-caliber wartime officers retired or separated for various reasons- Henry Mucci pursued a run for office, Benjamin Vandervoort retired after multiple wounds to join pursue a career in other government agencies, and Richard Winters left active duty to pursue civilian employment.
For those who remained on active duty, the post war years were a period of retrenchment and a certain ennui. Officers who had commanded regiments now found themselves in command of companies while bridling under congressionally imposed oversight at odds with their experience of what was needed for success in combat (read the first few chapters of Fehrenbach’s “This Kind of War”). Some battlefield commissioned officers found the requirement to pursue civilian education and the administrative requirements of peacetime unappealing. A very few like William Harris or Edward Lansdale found an opportunity to continue advising/fighting in some the early conflicts of the Cold War in places like Greece or Philippines. Maybe if Jaroschek was willing to remain in Europe he could have eventually found his way to the Greek Civil War or Vienna (provided he had the right skills and patronage), but he’d need to be quick about looking to his civilian education or be more than likely reduced, separated, or stagnated. No matter what, staying in the Army on a junior officer or NCOs pay during peacetime in the somewhat antiquated digs on most army posts would be pretty hard compared to enjoying relative stability and a chance at prosperity as a civilian in postwar America.
For an anecdotally accurate portrayal of life as a married junior officer in the post WW2 Army, I’d offer WEB Griffin‘s ”The Lieutenants”. Griffin’s description of life in the married quarters of Fort Knox is period accurate. It would take a special person to bring a spouse and (eventually) child into those conditions.